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Pseudoscalar glueball, η′ meson, and its excitation in the chiral effective Lagrangian

M. L. Nekrasov

  • Institute for High Energy Physics, 142284 Protvino, Russia

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Phys. Rev. D 56, 5681 – Published 1 November, 1997

DOI: https://doi.org/10.1103/PhysRevD.56.5681

Abstract

A generalization of the chiral effective Lagrangian of order p2 is proposed which involves the η′ meson, its excitation, and the pseudoscalar (PS) glueball. Model-independent constraints are found for the contributions to the Lagrangian of the above singlet states. These allow one to independently identify the nature of these singlet states in the framework of the approach. The mixing among the isosinglet states (including the η8 state) is analyzed, and the hierarchy of the mixing angles is described which is defined by the chiral and large-Nc expansions. The recent partial conservation of axial vector current results are reproduced, which are related to the problem of the renormalization-group-invariant description of the η′ and the PS glueball, and a further analysis of this problem is performed.

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Phys. Rev. D 56, 5681– Published 1 November, 1997
  • Received 21 June 1996

© 1997 American Physical Society

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